Temperature State of a Unipolar Generator Disk

  • V. S. Zarubin
  • G. N. Kuvyrkin
  • I. Yu. Savel’eva

The steady-state process of heat conduction in the rotating disk of a d.c. unipolar generator has been considered. A mathematical model has been constructed and on the basis of its analysis the features of the radial temperature distribution in the disk have been elucidated and the influence on this distribution of the temperature dependence of the electrical resistivity and the heat conductivity coefficient of the disk material have been determined. We have established the limiting value of the temperature coefficient of electrical resistivity at which the existence of a stable temperature distribution in a disk of hyperbolic profile under certain boundary conditions becomes impossible. A solution and a numerical example for a linear problem as applied to a disk with a power dependence of its thickness on the radial coordinate are given.


d.c. unipolar generator temperature state of the disk variational mathematical model 


Unable to display preview. Download preview PDF.

Unable to display preview. Download preview PDF.


  1. 1.
    D. É. Bruskin, A. E. Zorokhovich, and V. S. Khvostov, Electric Generators [in Russian], Pt. 2, Vysshaya Shkola, Moscow (1987).Google Scholar
  2. 2.
    L. A. Sukhanov, R. Kh. Safiullina, and Yu. A. Bobkov, Electric Unipolar Generators [in Russian],VNIIÉM, Moscow (1964).Google Scholar
  3. 3.
    V. S. Zarubin, Engineering Methods of Solving Heat Conduction Problems [in Russian], Énergoatomizdat, Moscow (1983).Google Scholar
  4. 4.
    V. S. Zarubin, Variational formulation of nonlinear heat conduction problems, Izv. Vyssh. Uchebn. Zaved., Mashinostroeinie, No. 4, 62–67 (1980).Google Scholar
  5. 5.
    V. S. Zarubin and G. N. Kuvyrkin, Mathematical Models of the Mechanics and Electrodynamics of a Continuous Medium [in Russian], Izd. MGTU im. N. É. Baumana, Moscow (2008).Google Scholar
  6. 6.
    P. E. Gotman, V. B. Berezin, and A. M. Khaikin, Electrotechnical Materials [in Russian], Énergiya, Moscow (1969).Google Scholar
  7. 7.
    D. A. Frank-Kamenetskii, Diffusion and Heat Transfer in Chemical Kinetics [in Russian], Nauka, Moscow (1967).Google Scholar
  8. 8.
    I. S. Grigoriev and E. Z. Meilikhov (Eds.), Physical Quantities: Handbook [in Russian], Énergoatomizdat, Moscow (1991).Google Scholar
  9. 9.
    V. S. Zarubin, Temperature Fields in the Structure of Flying Vehicles [in Russian], Mashinostroenie, Moscow (1966).Google Scholar

Copyright information

© Springer Science+Business Media New York 2014

Authors and Affiliations

  • V. S. Zarubin
    • 1
  • G. N. Kuvyrkin
    • 1
  • I. Yu. Savel’eva
    • 1
  1. 1.N. É. Bauman Moscow Technical State UniversityMoscowRussia

Personalised recommendations